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Finding the Third Proportional to 714,584 and 1,569,136

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Solution

The third proportional to 714,584 and 1,569,136 is: 3,445,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,584 : 1,569,136 = 1,569,136 : x
  2. Step 2: Convert to fraction form
    714,584/1,569,136 = 1,569,136/x
  3. Step 3: Cross multiply
    714,584x = 1,569,136 × 1,569,136
  4. Step 4: Simplify right side
    714,584x = 2,462,187,786,496
  5. Step 5: Solve for x
    x = 2,462,187,786,496/714,584
  6. Step 6: Final answer
    x = 3,445,624.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.